Problem Types Across the Curriculum ◆ 53
Figure 3.22 Perimeter Problems
Finding the perimeter
of a rectangle
Finding the missing
side of a rectangle
Finding the
area of a
rectangle
Finding the
area of a
square
Finding the
perimeter of a
square
Tammy’s table is 4 m
by 2 m. What is the
perimeter? What is the
area?
Tammy’s table has
an area of 8 square feet.
It’s length is 4 feet.
How long is its width?
Tammy’s rectangle
swimming pool was
12 meters wide. It
covered an area of 84
square meters. What
is the length of the
pool?
The perimeter of a
square is 800 cm?
How long is each
side?
Tammy’s
table is 4 m
by 2 m. What
is the area?
Tammy’s
kitchen is
10 meters
long and 9
meters wide.
What is its
area?
Tammy’s table
is a square.
One of the sides
is 2 m. What is
the area of the
table?
A square shed
has sides that
are 4 feet long.
What is the
shed’s area?
Tammy’s
square table has
an area of 16
square meters.
What are the
sides?
Open–ended perimeter
problems
Finding the
perimeter of an
irregular polygon
Perimeter
decimal
problems
Perimeter with
multiplicative
comparison
Perimeter with
comparative
elements
Farmer John planted
a garden with an area
of 30 square feet. What
could the possible
dimensions of the
fence be?
Tammy has a U-
shaped table. What
is the length of the
inner side? What is
the perimeter of the
entire figure?
Granny’s
garden is
1.5 times
as long as
it is wide.
It is 5 feet
wide. How
long is it?
What is the
perimeter?
What is the
area?
A small
rectangle
garden is twice
as long as it is
wide. If the
area is 8 square
feet, find its
dimensions.
The width of a
small rectangle
garden is 3
inches less than
its length. If
the area of the
rectangle is 28
square inches,
what is its
8ft. (^)? width?
4ft.
4ft.
2ft.
2ft.
3ft.
3ft.
Distance Problems
I think it is really important to teach students how to think about distance
problems. It is in all the standards, but I never see it emphasized in the
actual teaching of measurement problems. However, this is one of the most
typical situations that we do in life. People calculate distance all the time.
It is relevant, familiar and important. There should be map problems
across the year (see Figure 3.23).